Trapped surfaces in vacuum space-times

Apr 26, 1993
14 pages
Published in:
  • Class.Quant.Grav. 11 (1994) 419-430
e-Print:
Report number:
  • UWTHPH-1992-33

Citations per year

1995200220092016202302468
Abstract: (arXiv)
An earlier construction by the authors of sequences of globally regular, asymptotically flat initial data for the Einstein vacuum equations containing trapped surfaces for large values of the parameter is extended, from the time symmetric case considered previously, to the case of maximal slices. The resulting theorem shows rigorously that there exists a large class of initial configurations for non-time symmetric pure gravitational waves satisfying the assumptions of the Penrose singularity theorem and so must have a singularity to the future.